Young and Young-Laplace equations for a static ridge of nematic liquid crystal, and transitions between equilibrium states.

Young and Young-Laplace equations for a static ridge of nematic liquid crystal, and transitions between equilibrium states.
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DOI:
10.1098/rspa.2021.0849
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发表时间:
2022-03
期刊:
Proceedings. Mathematical, physical, and engineering sciences
影响因子:
--
通讯作者:
Mottram NJ
Mottram NJ
中科院分区:
其他
文献类型:
--
作者:
Cousins JRL;Duffy BR;Wilson SK;Mottram NJ

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为了更好地理解涉及向列相液晶、固体衬底和包括向列相-衬底-气体三相接触线的被动气体之间的界面的系统,我们分析了在被动气体气氛中位于固体衬底上的向列相的二维静态脊线。具体地,我们首先得到了该系统的完整的理论描述,包括向列相Young方程和Young-Laplace方程,然后,假设锚定断裂发生在接触线附近区域,我们使用向列相Young方程来确定完全润湿、部分润湿和完全去湿的平衡态之间发生的连续和不连续的转变。特别是,除了类似于各向同性液体经典情况下发生的连续转变外,我们还发现了各种不连续转变,以及接触角滞后,以及参数空间中存在经典情况下不存在的多个部分润湿态的区域。
Motivated by the need for greater understanding of systems that involve interfaces between a nematic liquid crystal, a solid substrate and a passive gas that include nematic–substrate–gas three-phase contact lines, we analyse a two-dimensional static ridge of nematic resting on a solid substrate in an atmosphere of passive gas. Specifically, we obtain the first complete theoretical description for this system, including nematic Young and Young–Laplace equations, and then, making the assumption that anchoring breaking occurs in regions adjacent to the contact lines, we use the nematic Young equations to determine the continuous and discontinuous transitions that occur between the equilibrium states of complete wetting, partial wetting and complete dewetting. In particular, in addition to continuous transitions analogous to those that occur in the classical case of an isotropic liquid, we find a variety of discontinuous transitions, as well as contact-angle hysteresis, and regions of parameter space in which there exist multiple partial wetting states that do not occur in the classical case.
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